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<a href="elastic__dynamics_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                               SPHinXsys                                   *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">* --------------------------------------------------------------------------*</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">* SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">* Hydrodynamics for industrial compleX systems. It provides C++ APIs for    *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">* physical accurate simulation and aims to model coupled industrial dynamic *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">* systems including fluid, solid, multi-body dynamics and beyond with SPH   *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">* (smoothed particle hydrodynamics), a meshless computational method using  *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">* particle discretization.                                                  *</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* SPHinXsys is partially funded by German Research Foundation               *</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">* (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1             *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">* and HU1527/12-1.                                                          *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">* Portions copyright (c) 2017-2020 Technical University of Munich and       *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">* the authors&#39; affiliations.                                                *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">* Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">* not use this file except in compliance with the License. You may obtain a *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">* --------------------------------------------------------------------------*/</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#ifndef ELASTIC_DYNAMICS_H</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#define ELASTIC_DYNAMICS_H</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;all_particle_dynamics.h&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="general__dynamics_8h.html">general_dynamics.h</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="base__kernel_8h.html">base_kernel.h</a>&quot;</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &quot;all_body_relations.h&quot;</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="solid__body_8h.html">solid_body.h</a>&quot;</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="solid__particles_8h.html">solid_particles.h</a>&quot;</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="elastic__solid_8h.html">elastic_solid.h</a>&quot;</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;{</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> VariableType&gt;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">class </span>BodySummation;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> VariableType&gt;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">class </span>BodyMoment;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">namespace </span>solid_dynamics</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    {</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="comment">//      for elastic solid dynamics</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keyword">typedef</span> DataDelegateSimple&lt;SolidBody, ElasticSolidParticles, ElasticSolid&gt; ElasticSolidDataSimple;</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">typedef</span> DataDelegateInner&lt;SolidBody, ElasticSolidParticles, ElasticSolid&gt; ElasticSolidDataInner;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition.html">   63</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition.html">ElasticDynamicsInitialCondition</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_simple.html">ParticleDynamicsSimple</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">ElasticSolidDataSimple</a></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        {</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition.html">ElasticDynamicsInitialCondition</a>(<a class="code" href="class_s_p_h_1_1_solid_body.html">SolidBody</a> &amp;solid_body);</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition.html">ElasticDynamicsInitialCondition</a>(){};</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;pos_, &amp;vel_;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        };</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div><div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction.html">   77</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction.html">UpdateElasticNormalDirection</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_simple.html">ParticleDynamicsSimple</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">ElasticSolidDataSimple</a></div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        {</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction.html">UpdateElasticNormalDirection</a>(<a class="code" href="class_s_p_h_1_1_solid_body.html">SolidBody</a> &amp;solid_body);</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction.html">UpdateElasticNormalDirection</a>(){};</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;n_, &amp;n0_;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            <a class="code" href="class_std_large_vec_3_01_matd_01_4.html">StdLargeVec&lt;Matd&gt;</a> &amp;F_;</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        };</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size.html">   94</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size.html">AcousticTimeStepSize</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_reduce.html">ParticleDynamicsReduce</a>&lt;Real, ReduceMin&gt;,</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                                     <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">ElasticSolidDataSimple</a></div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        {</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size.html">AcousticTimeStepSize</a>(<a class="code" href="class_s_p_h_1_1_solid_body.html">SolidBody</a> &amp;solid_body, Real CFL = 0.6);</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size.html">AcousticTimeStepSize</a>(){};</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            Real CFL_;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;vel_, &amp;acc_;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            Real smoothing_length_, c0_;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            Real ReduceFunction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        };</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div><div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation.html">  112</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation.html">DeformationGradientTensorBySummation</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_interaction_dynamics.html">InteractionDynamics</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_inner.html">ElasticSolidDataInner</a></div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        {</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation.html">DeformationGradientTensorBySummation</a>(<a class="code" href="class_s_p_h_1_1_base_body_relation_inner.html">BaseBodyRelationInner</a> &amp;inner_relation);</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation.html">DeformationGradientTensorBySummation</a>(){};</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> &amp;Vol_;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;pos_;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            <a class="code" href="class_std_large_vec_3_01_matd_01_4.html">StdLargeVec&lt;Matd&gt;</a> &amp;B_, &amp;F_;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Interaction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        };</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">  129</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">BaseElasticRelaxation</a></div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics1_level.html">ParticleDynamics1Level</a>,</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;              <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_inner.html">ElasticSolidDataInner</a></div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        {</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">BaseElasticRelaxation</a>(<a class="code" href="class_s_p_h_1_1_base_body_relation_inner.html">BaseBodyRelationInner</a> &amp;inner_relation);</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">BaseElasticRelaxation</a>(){};</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; 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           <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_stress_relaxation_first_half.html">BaseStressRelaxationFirstHalf</a>(){};</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            Real rho0_, inv_rho0_;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            <a class="code" href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt;Vecd&gt;</a> &amp;acc_prior_;</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            Real smoothing_length_;</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        };</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div><div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_first_half.html">  167</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_first_half.html">StressRelaxationFirstHalf</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_stress_relaxation_first_half.html">BaseStressRelaxationFirstHalf</a></div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        {</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160; 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           Real numerical_dissipation_factor_;</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            Real inv_W0_ = 1.0 / body_-&gt;sph_adaptation_-&gt;getKernel()-&gt;W0(Vecd(0));</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Initialization(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Interaction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        };</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div><div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half.html">  185</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half.html">KirchhoffParticleStressRelaxationFirstHalf</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_first_half.html">StressRelaxationFirstHalf</a></div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        {</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half.html">KirchhoffParticleStressRelaxationFirstHalf</a>(<a class="code" href="class_s_p_h_1_1_base_body_relation_inner.html">BaseBodyRelationInner</a> &amp;inner_relation);</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half.html">KirchhoffParticleStressRelaxationFirstHalf</a>(){};</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;            <span class="keyword">const</span> Real one_over_dimensions_ = 1.0 / (Real)Dimensions;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Initialization(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160; 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           <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_stress_relaxation_first_half.html">KirchhoffStressRelaxationFirstHalf</a>(){};</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        <span class="keyword">protected</span>:</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            <a class="code" href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt;Real&gt;</a> J_to_minus_2_over_dimension_;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            <a class="code" href="class_std_large_vec_3_01_matd_01_4.html">StdLargeVec&lt;Matd&gt;</a> stress_on_particle_, inverse_F_T_;</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            <span class="keyword">const</span> Real one_over_dimensions_ = 1.0 / (Real)Dimensions;</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; 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       <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_second_half.html">StressRelaxationSecondHalf</a> : <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">BaseElasticRelaxation</a></div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;        {</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_second_half.html">StressRelaxationSecondHalf</a>(<a class="code" href="class_s_p_h_1_1_base_body_relation_inner.html">BaseBodyRelationInner</a> &amp;inner_relation)</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                : <a class="code" href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">BaseElasticRelaxation</a>(inner_relation){};</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160; 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           <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        };</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    }</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;}</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="preprocessor">#endif //ELASTIC_DYNAMICS_H</span></div><div class="ttc" id="class_std_large_vec_3_01_real_01_4_html"><div class="ttname"><a href="class_std_large_vec_3_01_real_01_4.html">StdLargeVec&lt; Real &gt;</a></div></div>
<div class="ttc" id="class_s_p_h_1_1_data_delegate_inner_html"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_inner.html">SPH::DataDelegateInner</a></div><div class="ttdoc">prepare data for inner particle dynamics </div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:216</div></div>
<div class="ttc" id="class_std_large_vec_3_01_matd_01_4_html"><div class="ttname"><a href="class_std_large_vec_3_01_matd_01_4.html">StdLargeVec&lt; Matd &gt;</a></div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_stress_relaxation_first_half_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_stress_relaxation_first_half.html">SPH::solid_dynamics::KirchhoffStressRelaxationFirstHalf</a></div><div class="ttdoc">Decompose the stress into particle stress includes isotropic stress and the stress due to non-homogen...</div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:212</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_simple_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_simple.html">SPH::ParticleDynamicsSimple</a></div><div class="ttdoc">Simple particle dynamics without considering particle interaction. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:48</div></div>
<div class="ttc" id="general__dynamics_8h_html"><div class="ttname"><a href="general__dynamics_8h.html">general_dynamics.h</a></div><div class="ttdoc">This is the particle dynamics aplliable for all type bodies. </div></div>
<div class="ttc" id="class_s_p_h_1_1_solid_body_html"><div class="ttname"><a href="class_s_p_h_1_1_solid_body.html">SPH::SolidBody</a></div><div class="ttdoc">Declaration of solidbody which is used for Solid BCs and derived from RealBody. </div><div class="ttdef"><b>Definition:</b> solid_body.h:46</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_kirchhoff_particle_stress_relaxation_first_half.html">SPH::solid_dynamics::KirchhoffParticleStressRelaxationFirstHalf</a></div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:185</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_second_half_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_second_half.html">SPH::solid_dynamics::StressRelaxationSecondHalf</a></div><div class="ttdoc">computing stress relaxation process by verlet time stepping This is the second step ...</div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:233</div></div>
<div class="ttc" id="class_std_large_vec_3_01_vecd_01_4_html"><div class="ttname"><a href="class_std_large_vec_3_01_vecd_01_4.html">StdLargeVec&lt; Vecd &gt;</a></div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_first_half_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_stress_relaxation_first_half.html">SPH::solid_dynamics::StressRelaxationFirstHalf</a></div><div class="ttdoc">computing stress relaxation process by verlet time stepping This is the first step ...</div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:167</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics_reduce_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_reduce.html">SPH::ParticleDynamicsReduce</a></div><div class="ttdoc">Base abstract class for reduce. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:69</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_update_elastic_normal_direction.html">SPH::solid_dynamics::UpdateElasticNormalDirection</a></div><div class="ttdoc">update particle normal directions for elastic solid </div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:77</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_base_elastic_relaxation.html">SPH::solid_dynamics::BaseElasticRelaxation</a></div><div class="ttdoc">base class for elastic relaxation </div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:129</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_base_stress_relaxation_first_half_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_base_stress_relaxation_first_half.html">SPH::solid_dynamics::BaseStressRelaxationFirstHalf</a></div><div class="ttdoc">computing stress relaxation process by verlet time stepping This is the first step ...</div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:148</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_dynamics1_level_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics1_level.html">SPH::ParticleDynamics1Level</a></div><div class="ttdoc">This class includes an initialization, an interaction and a update steps. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:181</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_deformation_gradient_tensor_by_summation.html">SPH::solid_dynamics::DeformationGradientTensorBySummation</a></div><div class="ttdoc">computing deformation gradient tensor by summation </div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:112</div></div>
<div class="ttc" id="class_s_p_h_1_1_interaction_dynamics_html"><div class="ttname"><a href="class_s_p_h_1_1_interaction_dynamics.html">SPH::InteractionDynamics</a></div><div class="ttdoc">This is the class for particle interaction with other particles. </div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:115</div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_acoustic_time_step_size.html">SPH::solid_dynamics::AcousticTimeStepSize</a></div><div class="ttdoc">Computing the acoustic time step size computing time step size. </div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:94</div></div>
<div class="ttc" id="solid__particles_8h_html"><div class="ttname"><a href="solid__particles_8h.html">solid_particles.h</a></div><div class="ttdoc">This is the derived class of base particles. </div></div>
<div class="ttc" id="class_s_p_h_1_1_base_body_relation_inner_html"><div class="ttname"><a href="class_s_p_h_1_1_base_body_relation_inner.html">SPH::BaseBodyRelationInner</a></div><div class="ttdoc">The abstract relation within a SPH body. </div><div class="ttdef"><b>Definition:</b> base_body_relation.h:117</div></div>
<div class="ttc" id="class_s_p_h_1_1_data_delegate_simple_html"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_simple.html">SPH::DataDelegateSimple</a></div><div class="ttdoc">prepare data for simple particle dynamics. </div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:185</div></div>
<div class="ttc" id="base__kernel_8h_html"><div class="ttname"><a href="base__kernel_8h.html">base_kernel.h</a></div><div class="ttdoc">This is the base classes of kernel functions. Implementation will be implemented in derived classes...</div></div>
<div class="ttc" id="elastic__solid_8h_html"><div class="ttname"><a href="elastic__solid_8h.html">elastic_solid.h</a></div><div class="ttdoc">These are classes for define properties of elastic solid materials. These classes are based on isotro...</div></div>
<div class="ttc" id="solid__body_8h_html"><div class="ttname"><a href="solid__body_8h.html">solid_body.h</a></div><div class="ttdoc">This is the class for bodies used for solid BCs or Elastic structure. </div></div>
<div class="ttc" id="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition_html"><div class="ttname"><a href="class_s_p_h_1_1solid__dynamics_1_1_elastic_dynamics_initial_condition.html">SPH::solid_dynamics::ElasticDynamicsInitialCondition</a></div><div class="ttdoc">set initial condition for a solid body with different material This is a abstract class to be overrid...</div><div class="ttdef"><b>Definition:</b> elastic_dynamics.h:63</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
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